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Simplifying (5x2 + 2x)(3x2 + -7x + 4) = 0 Reorder the terms: (2x + 5x2)(3x2 + -7x + 4) = 0 Reorder the terms: (2x + 5x2)(4 + -7x + 3x2) = 0 Multiply (2x + 5x2) * (4 + -7x + 3x2) (2x * (4 + -7x + 3x2) + 5x2 * (4 + -7x + 3x2)) = 0 ((4 * 2x + -7x * 2x + 3x2 * 2x) + 5x2 * (4 + -7x + 3x2)) = 0 ((8x + -14x2 + 6x3) + 5x2 * (4 + -7x + 3x2)) = 0 (8x + -14x2 + 6x3 + (4 * 5x2 + -7x * 5x2 + 3x2 * 5x2)) = 0 (8x + -14x2 + 6x3 + (20x2 + -35x3 + 15x4)) = 0 Reorder the terms: (8x + -14x2 + 20x2 + 6x3 + -35x3 + 15x4) = 0 Combine like terms: -14x2 + 20x2 = 6x2 (8x + 6x2 + 6x3 + -35x3 + 15x4) = 0 Combine like terms: 6x3 + -35x3 = -29x3 (8x + 6x2 + -29x3 + 15x4) = 0 Solving 8x + 6x2 + -29x3 + 15x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(8 + 6x + -29x2 + 15x3) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(8 + 6x + -29x2 + 15x3)' equal to zero and attempt to solve: Simplifying 8 + 6x + -29x2 + 15x3 = 0 Solving 8 + 6x + -29x2 + 15x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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